### Home > INT1 > Chapter A > Lesson A.1.6 > Problem A-66

Examine the pattern of tiles below.

tile | tile |

tile | tile |

Figure 1

tile | tile | tile |

tile | tile | tile |

tile | tile | tile |

Figure 2

tile | tile | tile | tile |

tile | tile | tile | tile |

tile | tile | tile | tile |

tile | tile | tile | tile |

Figure 3

On graph paper, draw Figures 4 and 5.

Figure 1 is a

-by- square.

Figure 2 is a-by- square.

Figure 3 is a-by- square.

That means Figureshould be asquare. What would Figure 10 look like? How many tiles would it have on each side? What about Figure 100?

Refer to part (a).

Figure 10: An

-by- square that would have tiles.

Can you use the pattern to find what Figure 100 would look like?

Cami has a different pattern. She decided to represent the number of tiles in her pattern in a table, as shown below. Can you use the table to predict how many tiles would be in Figure 5 of her tile pattern? How many tiles would Figure 8 have? Explain how you know.

Figure Number | ||||
---|---|---|---|---|

Number of Tiles |

Find the pattern in the chart.